For the following exercises, find the exact area of the region bounded by the given equations if possible. If you are unable to determine the intersection points analytically, use a calculator to approximate the intersection points with three decimal places and determine the approximate area of the region. x= √4-y^2 and y^2=1+x^2

Points of intersection: (1.225,-1.58) and (1.225,1.58)

Step-by-step explanation:

Given

Required

The region area

Plot the graphs of and

Make y the subject in both equations

Square both sides

Rewrite

Take square roots

So, we have:

Take square roots

So, we have:

The point of intersection is:

Square both sides

Collect like terms

Divide by 2

Take square roots

So, the point of intersection is at: (1.225,-1.58) and (1.225,1.58)

See attachment

From the attached image, we can see that the curves do not enclose

Hence:

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05